Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 326, 535, 312, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 326, 535, 312, 442 is 1
GCD(326, 535, 312, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 535, 312, 442 is 1
GCD(326, 535, 312, 442) = 1
Given Input numbers are 326, 535, 312, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 326, 535, 312, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 535, 312, 442 is 1.
Therefore, GCD of numbers 326, 535, 312, 442 is 1
Given Input Data is 326, 535, 312, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 535 is 5 x 107
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 442 is 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(326, 535) = 174410
GCD(326, 535) = ( 326 x 535 ) / 174410
GCD(326, 535) = 174410 / 174410
GCD(326, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 326, 535, 312, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 535, 312, 442?
GCD of 326, 535, 312, 442 is 1
2. Where do I get the detailed procedure to find GCD of 326, 535, 312, 442?
You can find a detailed procedure to find GCD of 326, 535, 312, 442 on our page.
3. How to find GCD of 326, 535, 312, 442 on a calculator?
You can find the GCD of 326, 535, 312, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.